Title:
Image analysis, random fields and Markov Chain Monte Carlo methods : a mathematical introduction/ Gerhard Winkler.
Applications of mathematics,
Author:
Winkler , Gerhard author.
General Notes:
Revised edition of: Image analysis, random fields, and dynamic Monte Carlo methods. c1995., Revised edition of: Image analysis, random fields, and dynamic Monte Carlo methods. c1995.
Includes bibliographical references and index (p.381-387), Revised edition of: Image analysis, random fields, and dynamic Monte Carlo methods. c1995.
Publisher:
Springer,
Publication Place:
Berlin ; New York :
ISBN:
3540442138
Subject:
Image processing -- Statistical methods.
MARKOV RANDOM FIELDS.
Monte Carlo method.
Traitement d'images -- M�ethodes statistiques.
Image processing -- Statistical methods
Markov random fields
Monte Carlo method
Series:
Applications of mathematics, 27
Edition:
2nd.ed.
Contents:
Part I. Bayesian image analysis: introduction -- 1. The Bayesian paradigm -- 2. Cleaning dirty pictures -- 3. Finite random fields -- Part II. THe Gibbs sampler and simulated annealing -- 4. Markov Chains: limit theorems -- 5. Gibbsian sampling and annealing -- 6. Cooling schedules -- Part III. Variations of the Gibbs sampler -- 7. Gibbsian sampling and annealing revisited -- 8. Partially parallel algorithms -- 9. Synchronous algorithms -- Part IV. Metropolis algorithms and spectral methods -- 10. Metropolis algorithms -- 11. The spectral gap and convergence of Markov chains -- 12. Eigenvalues, sampling, variance reduction -- 13. Continuous time processes -- Part V. Texture analysis -- 14. Partitioning -- 15. Random fields and texture models -- 16. Bayesian texture classification -- Part VI. Parameter estimation -- 17. Maximum likelihood estimation -- 18. Consistency of spatial ML estimators -- 19. Computation of full ML estimators -- Part VII. Supplement -- 20. A glance at neural networks -- 21. Three applications -- Part VIII. Appendix -- A. Simulation of random variables -- B. Analytical tools -- C. Physical imaging systems -- D. The software package AntsInFields.
Physical Description:
xvi, 387 pages : illustrations ; 1 CD-ROM (4 3/4 in.).
Publication Date:
c2003.
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